On the blueprint of Lauren's new office building, the scale is 3 in. equals 8 ft. What will be the actual length of Lauren's office if it measures 6 in. long on the blueprint?
3/6=8/x
solve for x.
how do i solve for x
would the answer be 16ft?
cross multiply to solve for x
3/6 = 8/x
3*x = 6*8
3x = 48
x = 48 /3 = 16
To find the actual length of Lauren's office, we can set up a proportion using the given scale on the blueprint. The proportion will relate the dimensions on the blueprint to the actual dimensions.
The scale on the blueprint is 3 in. equals 8 ft. Therefore, we can say that:
3 in. / 8 ft. = 6 in. / x ft.
Now, we can solve for x, which represents the actual length of Lauren's office.
To solve the proportion, we can cross-multiply:
3 in. * x ft. = 8 ft. * 6 in.
Simplifying the equation, we get:
3x = 48 ft. * in.
Since 1 ft. equals 12 in., we can convert 48 ft. to inches by multiplying it by 12:
3x = 48 ft. * 12 in./ft.
Simplifying further:
3x = 576 in.
To isolate x, we can divide both sides of the equation by 3:
x = 576 in. / 3
x = 192 in.
Therefore, the actual length of Lauren's office will be 192 inches.